节点文献
探究微积分——让知识成为智慧
An Exploration of Calculus——Transforming knowledge into Wisdom
【摘要】 沿着历史脉络,准确把握微积分概念,领悟微积分蕴含的丰富智慧.数学智慧可以充实读者的精神世界,促进学生的心智成长,对他们的思维方式和世界观产生积极影响.在培养逻辑思维能力的同时,重视直觉思维能力,促进创新能力的培养.
【Abstract】 We attempt to comprehend the rich wisdoms behind the calculus by accurately digging out the meaning and sorting out the history of each concept in calculus. The wisdom of mathematics can enrich the spiritual mind of our students, promoting the development of students’ mindset so that they can eventually become critical in their thinking and worldview. Most importantly, we should focus on training our intuition ability while fostering logical thinking ability, because it will ultimately enhance our creativity.
【关键词】 无穷小;
极限,微分;
定积分;
不定积分;
微元法;
拉格朗日乘子;
直觉思维;
【Key words】 infinitesimal; limitation; differential; definite integral; indefinite integral; Lagrangre Multiplier; intuitive;
【Key words】 infinitesimal; limitation; differential; definite integral; indefinite integral; Lagrangre Multiplier; intuitive;
【基金】 国家自然科学基金青年项目(11701570)
- 【文献出处】 大学数学 ,College Mathematics , 编辑部邮箱 ,2024年05期
- 【分类号】O172
- 【下载频次】161